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Finding the Fourth Proportional to 268.70, 403.06 and 86.10

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Solution

The fourth proportional to 268.70, 403.06 and 86.10 is: 129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.70 : 403.06 = 86.10 : x
  2. Step 2: Convert to fraction form
    268.70/403.06 = 86.10/x
  3. Step 3: Cross multiply
    268.70x = 403.06 × 86.10
  4. Step 4: Simplify right side
    268.70x = 34,703.47
  5. Step 5: Solve for x
    x = 34,703.47/268.70
  6. Step 6: Final answer
    x = 129.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.